What is the Least Common Multiple of 49554 and 49572?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 49554 and 49572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49554 and 49572, than apply into the LCM equation.

GCF(49554,49572) = 18
LCM(49554,49572) = ( 49554 × 49572) / 18
LCM(49554,49572) = 2456490888 / 18
LCM(49554,49572) = 136471716

Least Common Multiple (LCM) of 49554 and 49572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49554 and 49572. First we will calculate the prime factors of 49554 and 49572.

Prime Factorization of 49554

Prime Factorization of 49572

Now multiplying the highest exponent prime factors to calculate the LCM of 49554 and 49572.

LCM(49554,49572) = 2² × 3⁶ × 2753¹ × 17¹
LCM(49554,49572) = 136471716